Pith Number

pith:5ITRBHDS

pith:2012:5ITRBHDSK3QVNZ7YDKVA3JOVCI

not attested not anchored not stored refs pending

On the Existence of Retransmission Permutation Arrays

Ian M. Wanless, Xiande Zhang

arxiv:1210.8223 v1 · 2012-10-31 · math.CO · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ITRBHDSK3QVNZ7YDKVA3JOVCI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:17:12.669847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea27109c7256e156e7f81aaa0da5d5122d90af2b5daa441eeb831401db606065

Aliases

arxiv: 1210.8223 · arxiv_version: 1210.8223v1 · doi: 10.48550/arxiv.1210.8223 · pith_short_12: 5ITRBHDSK3QV · pith_short_16: 5ITRBHDSK3QVNZ7Y · pith_short_8: 5ITRBHDS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5ITRBHDSK3QVNZ7YDKVA3JOVCI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ea27109c7256e156e7f81aaa0da5d5122d90af2b5daa441eeb831401db606065

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab26ff20fa88054d3b9484d50903933cbf5c28b864064e229ee1faf68d2748f3",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-31T03:39:50Z",
    "title_canon_sha256": "6f3b986c3fa75a0d8eb468d123e9aa70bb9d92b4c01d305f77f1b2c57f3f1fde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8223",
    "kind": "arxiv",
    "version": 1
  }
}